Consider a mortgage loan where the periodic payment is 1 and the per period mortgage interest is 5%. For simplicity, the maturity of the loan is infinite. That is, the borrower has to pay the loan perpetually. The per period market interest rate is 10%. Calculate the market value of the loan. (Note: When an investor buys the loan, she can receive the value of one starting from the next period.)

Consider a mortgage loan where the periodic payment is 1 and the per period mortgage interest is 5%. For simplicity, the maturity of the loan is infinite. That is, the borrower has to pay the loan perpetually. The per period market interest rate is 10%. Calculate the market value of the loan. (Note: When an investor buys the loan, she can receive the value of one starting from the next period.)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You are taking out a single-payment loan that uses the simple interest method to compute the finance charge. You need to figure out what your payment will be when the loan comes due. The equation to calculate the finance charge is: FsFs = Amount of Loanx Interest Ratex Term of Loan where FsFs is the finance charge for the loan, and the term of the loan is in . You’re borrowing $10,000 for two years with a stated annual interest rate of 6%.
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.
Consider two 1-year loans with a principal of $1 million and a default probability of 2% each. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $x million is 1-x. If a loan does not default, it yields a profit equal to $0.02 million. a) Compute the 1-year 99% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan. b) Compute the 1-year 99% VaR and ES for the portfolio of both loans. c) Does the VaR and the ES satisfy the subadditivity property in this case?
In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $34,000 and the interest rate is 9.50%, the borrower “pays” 0.0950 × $34,000 = $3,230 immediately, thereby receiving net funds of $30,770 and repaying $34,000 in a year. A. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) B. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 19.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: A = [( The future value would be $ 12M 1+ 12 Y where M is the regular monthly payment, r is the annual interest rate in decimal form, and t is the term of the annuity in years. If you chose an annuity with a term of two years at 4.7% and a monthly payment of $100, the future value would be $2511.27. Recalculate the future value amount if you're willing to raise your monthly payment $20 per month. Round your answer to the nearest cent. 121 X 6
The formula below tells us how to obtain the maturity value on a simple discount loan if we are given the proceeds, the discount rate, and the term. M = T-dRT If a loan's annual simple discount rate is 3.34%, how many years would it take for the debt to double? (This is called the doublin time of a loan). Round your answer to the nearest tenth of a year. Hint: divide both sides of the equation by P. If M is twice as much as P, what should the fraction on the left-hand side equal?
What is the total amount you will pay if you do not pay the loan within the term and meet all the conditions of the loan? Assume that the loan is compounding monthly. First you need to calculate the payment; so what is TVM variable: the number of periods N?
3. Suppose you decide to purchase a $150000 home for $20000 down. A down payment is subtracted from your home’s value and therefore you owe $130000. Well to pay for this amount you will need a loan, so $130000 is the principal on your loan. Suppose the interest rate on a 30 year mortgage is 4.5%. What will your monthly payment be? Create an amortization table for this loan. How much will you pay on the loan if you pay off the loan as
Consider a loan repayment plan described by the following initial value problem, where the amount borrowed is B(0) = $40,000, the monthly payments are $600, and B(t) is the unpaid balance of the loan. Use the initial value problem to answer parts a through c. B' (+) =0.03B - 600, B(0) = 40,000 a) Find the solution of the initial value problem and explain why B is an increasing solution. B(t) = Why is B an increasing function? O A. The function is increasing because it is an exponential function with a positive coefficient and a negative exponent. O B. The function is increasing because it is an exponential function with a positive coefficient and a positive exponent. O C. The function is increasing because it is an exponential function with a positive exponent. O D. The function is increasing because it is an exponential function with a positive coefficient. b) What is the most that you can borrow under the terms of this loan without going further into debt each month? The…
The formula below tells us how to obtain the maturity value on a simple discount loan if we are given the proceeds, the discount rate, and the term. If a loan's annual simple discount rate is 7.56%, how many years would it take for the debt to double? (This is called the doubling time of a loan). Round your answer to the nearest tenth of a year. Hint: divide both sides of the equation by P. If M is twice as much as P, what should the fraction on the left-hand side equal?
You want to buy a $190000 home. You plan to pay $19000 as a down payment, and take out a 15 year loan at 4.25% interest for the rest.a) What is the amount of the payment?$b) If the bank charges 2 points on the loan, what is the amount charged for points?$c) If the bank charges 2 points on the loan, what is the true interest rate?$ TVM SOLVER
(Q) You would like to purchase a home and are interested to find out how much you can borrow. When your lender calculates your debt to income ratio, he determines that your maximum monthly payment can be no more than $3, 200. You would like to have a 30 year fully amortizing loan and the interest rate offered on such a loan is currently 8.5%. Given these constraints, what is the largest loan you can obtain?

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